The Mathematical Foundations of Mixing

Rob Sturnan gained his PhD from University College London in 2000. He is currently carrying out research on mixing in microfluidics at the University of Bristol. Julio M. Ottino is Dean of the R. R. McCormick School of Engineering and Applied Sciences, R. R. McCormick Institute Professor and Walter P. Murphy Professor of Chemical and Biological Engineering at Northwestern University. Stephen Wiggins is a Professor of Applied Mathematics and Head of the School of Mathematics at the University of Bristol.

• Preface; 1. Mixing: physical issues; 2. Linked twist maps; 3. The ergodic hierarchy; 4. Existence of a horseshoe; 5. Hyperbolicity; 6. The ergodic partition for toral LTMs; 7. Ergodicity and Bernoulli for TLTMs; 8. Linked twist maps on the plane; 9. Further directions and open problems; Bibliography; Index.

"The material is presented in a style that should make it accessible to a wise audience, and especially to readers involved in practical aspects of mixing who wish to learn more about the mathematical problems underlying the physical phemonology." Mathematical Reviews